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kow [346]
3 years ago
7

The football team gained 22 yards and then lost 26 yards. What was the team’s overall change in position on the field? 48 - 4 -

48 4
Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

44

Step-by-step explanation:

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Use a scientific calculator to evaluate ln 26 (round to the nearest ten-thousandth).
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Ln 26 = 3.2581 to the nearest ten thousandth
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A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes
Rudik [331]

A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to 180^{o}. The <em>measures</em> of the internal <u>angles</u> of the <u>triangle</u> given in the question are A = 52.6^{o}, B = 59.4^{o}, and C = 68^{o}.

A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to 180^{o}.

Considering the given question, let the <u>sides</u> of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the <em>Cosine rule</em> to have:

c^{2} = a^{2} + b^{2} - 2ab Cos C

So that;

7^{2} = 6^{2} + (6.5)^{2} - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

               = 29.25

Cos C = \frac{29.25}{78}

         = 0.375

C = Cos^{-1} 0.375

   = 67.9757

C = 68^{o}

Apply the <em>Sine rule</em> to determine the <u>value</u> of B,

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{6.5}{Sin B} = \frac{7}{Sin 68}

SIn B = \frac{6.5 *Sin 68}{7}

         = 0.861

B = Sin^{-1} 0.861

   = 59.43

B = 59.4^{o}

Thus to determine the value of A, we have;

A + B + C = 180^{o}

A + 59.4^{o} + 68^{o} = 180^{o}

A = 180^{o} - 127.4

  = 52.6

A = 52.6^{o}

Therefore the <u>sizes</u> of the <em>internal angles</em> of the triangle are: A = 52.6^{o}, B = 59.4^{o}, and C = 68^{o}.

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

#SPJ1

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2 years ago
A fishmarket got to swordfish at a rate of $13 per pound . The cost of the large fish was three times as great as the cost of th
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Lg fish=$2964=228lbs

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3 years ago
Triangles PIC Included
ZanzabumX [31]

Answer:

sin70° = x/6

Step-by-step explanation:

When we draw out our picture and triangle, we should see that our angle is on the ground 70°, the height <em>x</em> is across from the angle and is the vertical leg up, and that our hypotenuse is equal to 6:

sin70° = x/6

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4 years ago
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In Jamie's class, 1/5 of the students are boys. What percent of the students in Jamie’s class are boys?
Cloud [144]

Answer:

The percentage of boys students in Jamie's class is 20 %

Step-by-step explanation:

Given as :

The total number of boys in the Jamie's class = \frac{1}{5} of the total student

Let the total number of student's in the class = x

So, The number of boys =  \frac{1}{5} × x

I.e The number of boys =  \dfrac{x}{5}

So , in percentage the number of boys students in class = \dfrac{\textrm Total number of boy student}{\textrm Total number of students} × 100

OR, % boys students = \dfrac{\dfrac{x}{5}}{x} × 100

or, % boys students = \frac{100}{5}

∴ % boys students = 20

Hence The percentage of boys students in Jamie's class is 20 %  . Answer

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3 years ago
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